11006634416497 has 2 divisors, whose sum is σ = 11006634416498. Its totient is φ = 11006634416496.

The previous prime is 11006634416411. The next prime is 11006634416501. The reversal of 11006634416497 is 79461443660011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6833210349681 + 4173424066816 = 2614041^2 + 2042896^2 .

It is a cyclic number.

It is not a de Polignac number, because 11006634416497 - 2⁷ = 11006634416369 is a prime.

It is a super-2 number, since 2×11006634416497² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11006634414497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5503317208248 + 5503317208249.

It is an arithmetic number, because the mean of its divisors is an integer number (5503317208249).

Almost surely, 2^{11006634416497} is an apocalyptic number.

It is an amenable number.

11006634416497 is a deficient number, since it is larger than the sum of its proper divisors (1).

11006634416497 is an equidigital number, since it uses as much as digits as its factorization.

11006634416497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 11006634416497 in words is "eleven trillion, six billion, six hundred thirty-four million, four hundred sixteen thousand, four hundred ninety-seven".